### Random Questions from 2016 Prelims #10

PJC P2 Q1 The complex numbers a and b are given by and respectively. (i) On a single Argand diagram, sketch the loci (a) (b) (ii) Find the range of where is the complex number that satisfies the [...]

PJC P2 Q1 The complex numbers a and b are given by and respectively. (i) On a single Argand diagram, sketch the loci (a) (b) (ii) Find the range of where is the complex number that satisfies the [...]

All solutions here are SUGGESTED. KS will hold no liability for any errors. Comments are entirely personal opinions. As these workings and answers are rushed out asap, please pardon me for my [...]

All solutions here are SUGGESTED. Christine will hold no liability for any errors. Comments are entirely personal opinions. Read more about Christine’s Pre-A’levels 2016 thoughts [...]

All solutions here are SUGGESTED. KS will hold no liability for any errors. Comments are entirely personal opinions. Numerical Answers (click the questions for workings/explanation) Question 1: [...]

All solutions here are SUGGESTED. KS will hold no liability for any errors. Comments are entirely personal opinions. Thoughts about Paper 2. Numerical Answers (click the questions for [...]

Congratulations on the completion of A’levels for the 2016 batch! As for those who still, are taking A’levels 2017, we hope you find this site helpful. Read the comments (ignore the [...]

HCI P1 Q2 Solve the inequality Hence find , leaving your answer in exact form.

ACJC P2 Q3 The function g is defined by (ii) Explain why the composite function exist. (iii) Sketch the graph of .

VJC P1 Q9 (i) Sketch the graph with equation , where and A hemispherical bowl of fixed radius cm is filled with water. Water drains out from a hole at the bottom of the bowl at a constant rate. [...]

HCI P1 Q5 Sketch on a single Argand diagram, the loci defined by and (i) Find the minimum value of (ii) Find the minimum value of (iii) Given that , state the minimum value of

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